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Finding the Third Proportional to 34,096 and 73,752

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Solution

The third proportional to 34,096 and 73,752 is: 159,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,096 : 73,752 = 73,752 : x
  2. Step 2: Convert to fraction form
    34,096/73,752 = 73,752/x
  3. Step 3: Cross multiply
    34,096x = 73,752 × 73,752
  4. Step 4: Simplify right side
    34,096x = 5,439,357,504
  5. Step 5: Solve for x
    x = 5,439,357,504/34,096
  6. Step 6: Final answer
    x = 159,530.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.